EduSahara™ Assignment
Name : Finding Values of Expressions
Chapter : Special Products and Expansions
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
If
(
x
+
1
x
)
=
8
,
find the value of
(
x
2
+
1
x
2
)
(i)
65
(ii)
61
(iii)
62
(iv)
63
(v)
60
Question
2
2.
If
(
x
+
1
x
)
=
9
,
find the value of
(
x
4
+
1
x
4
)
(i)
6238
(ii)
6239
(iii)
6237
(iv)
6240
(v)
6242
Question
3
3.
If
(
x
−
1
x
)
=
2
,
find the value of
(
x
2
+
1
x
2
)
(i)
4
(ii)
8
(iii)
7
(iv)
5
(v)
6
Question
4
4.
If
(
x
−
1
x
)
=
8
,
find the value of
(
x
4
+
1
x
4
)
(i)
4357
(ii)
4354
(iii)
4355
(iv)
4353
(v)
4352
Question
5
5.
If
(
x
2
+
1
x
2
)
=
7
,
find the value of
(
x
+
1
x
)
(i)
1
(ii)
2
(iii)
3
(iv)
4
(v)
5
Question
6
6.
If
(
x
4
+
1
x
4
)
=
2
,
find the value of
(
x
+
1
x
)
(i)
1
(ii)
0
(iii)
2
(iv)
5
(v)
3
Question
7
7.
If
(
x
2
+
1
x
2
)
=
83
,
find the value of
(
x
−
1
x
)
(i)
8
(ii)
6
(iii)
12
(iv)
10
(v)
9
Question
8
8.
If
(
x
4
+
1
x
4
)
=
6887
,
find the value of
(
x
−
1
x
)
(i)
11
(ii)
10
(iii)
8
(iv)
7
(v)
9
Question
9
9.
If
(
x
−
1
x
)
=
2
,
find the value of
(
x
3
−
1
x
3
)
(i)
13
(ii)
16
(iii)
14
(iv)
11
(v)
15
Question
10
10.
If
(
x
+
1
x
)
=
2
,
find the value of
(
x
3
+
1
x
3
)
(i)
3
(ii)
1
(iii)
0
(iv)
2
(v)
5
Question
11
11.
If
(
4
x
+
1
2
x
)
=
7
,
find the value of
(
16
x
2
+
1
4
x
2
)
(i)
45
(ii)
44
(iii)
48
(iv)
46
(v)
42
Question
12
12.
If
(
3
x
−
1
3
x
)
=
4
,
find the value of
(
9
x
2
+
1
9
x
2
)
(i)
17
(ii)
21
(iii)
19
(iv)
18
(v)
15
Question
13
13.
If
(
2
x
−
1
3
x
)
=
4
,
find the value of
(
8
x
3
−
1
27
x
3
)
(i)
72
(ii)
69
(iii)
71
(iv)
73
(v)
74
Question
14
14.
If
(
a
+
b
)
=
7
,
a
b
=
12
, find
(
a
2
+
b
2
)
(i)
28
(ii)
23
(iii)
24
(iv)
26
(v)
25
Question
15
15.
If
(
a
2
+
b
2
)
=
13
,
a
b
=
6
, find
(
a
+
b
)
(i)
5
(ii)
4
(iii)
6
(iv)
8
(v)
2
Question
16
16.
If
(
a
−
b
)
=
4
,
a
b
=
12
, find
(
a
2
−
b
2
)
(i)
31
(ii)
30
(iii)
33
(iv)
32
(v)
34
Question
17
17.
If
(
a
2
−
b
2
)
=
27
,
a
b
=
18
, find
(
a
−
b
)
(i)
2
(ii)
1
(iii)
3
(iv)
4
(v)
6
Question
18
18.
If
(
3
a
+
4
b
)
=
20
,
a
b
=
8
, find
(
9
a
2
+
16
b
2
)
(i)
209
(ii)
206
(iii)
211
(iv)
207
(v)
208
Question
19
19.
If
(
4
a
2
+
16
b
2
)
=
208
,
a
b
=
12
, find
(
2
a
+
4
b
)
(i)
19
(ii)
20
(iii)
23
(iv)
18
(v)
21
Question
20
20.
If
(
a
+
b
)
=
14
,
a
b
=
48
, find
(
a
3
+
b
3
)
(i)
727
(ii)
728
(iii)
730
(iv)
726
(v)
729
Question
21
21.
If
(
a
−
b
)
=
4
,
a
b
=
12
, find
(
a
3
−
b
3
)
(i)
206
(ii)
209
(iii)
211
(iv)
208
(v)
207
Question
22
22.
If
(
2
a
+
6
b
)
=
36
,
a
b
=
24
, find
(
8
a
3
+
216
b
3
)
(i)
15551
(ii)
15550
(iii)
15553
(iv)
15552
(v)
15554
Question
23
23.
If
(
a
+
b
)
=
7
,
a
b
=
12
, find
(
a
4
+
b
4
)
(i)
336
(ii)
338
(iii)
337
(iv)
339
(v)
334
Question
24
24.
If
(
a
4
+
b
4
)
=
337
,
a
b
=
12
, find
(
a
+
b
)
(i)
7
(ii)
8
(iii)
6
(iv)
10
(v)
4
Question
25
25.
If
(
a
−
b
)
=
1
,
a
b
=
20
, find
(
a
4
−
b
4
)
(i)
372
(ii)
369
(iii)
368
(iv)
370
(v)
366
Question
26
26.
If
(
3
a
+
2
b
)
=
36
,
a
b
=
48
, find
(
81
a
4
+
16
b
4
)
(i)
352513
(ii)
352510
(iii)
352512
(iv)
352511
(v)
352515
Question
27
27.
If
(
256
a
4
+
81
b
4
)
=
72097
,
a
b
=
12
, find
(
4
a
+
3
b
)
(i)
25
(ii)
23
(iii)
24
(iv)
26
(v)
27
Question
28
28.
If
(
a
+
b
+
c
)
=
19
,
(
a
2
+
b
2
+
c
2
)
=
125
, find
(
a
b
+
a
c
+
b
c
)
(i)
117
(ii)
116
(iii)
118
(iv)
119
(v)
121
Question
29
29.
If
(
a
+
b
+
c
)
=
20
,
(
a
b
+
a
c
+
b
c
)
=
131
, find
(
a
2
+
b
2
+
c
2
)
(i)
136
(ii)
139
(iii)
138
(iv)
141
(v)
137
Assignment Key
1) (iii)
2) (ii)
3) (v)
4) (ii)
5) (iii)
6) (iii)
7) (v)
8) (v)
9) (iii)
10) (iv)
11) (i)
12) (iv)
13) (i)
14) (v)
15) (i)
16) (iv)
17) (iii)
18) (v)
19) (ii)
20) (ii)
21) (iv)
22) (iv)
23) (iii)
24) (i)
25) (ii)
26) (iii)
27) (i)
28) (iii)
29) (iii)
